A second order system is described by the differential equation d^2y(t)/dt^2 + 3dy(t)/dt +3ky(t) = 3kr(t) where y(t) is the output, r(t) is the input and k>0. b) Find the range of values of "k" for which the system has two real, distinct, and stable poles. c) Find the value of k such that the system has a percent overshoot between 5% and 10%. d) Find the system sensitivity to k. e) Find the system type as a function of k.